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Finding the Fourth Proportional to 4,469.67, 6,705.42 and 2,003.22

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Solution

The fourth proportional to 4,469.67, 6,705.42 and 2,003.22 is: 3,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.67 : 6,705.42 = 2,003.22 : x
  2. Step 2: Convert to fraction form
    4,469.67/6,705.42 = 2,003.22/x
  3. Step 3: Cross multiply
    4,469.67x = 6,705.42 × 2,003.22
  4. Step 4: Simplify right side
    4,469.67x = 13,432,431.45
  5. Step 5: Solve for x
    x = 13,432,431.45/4,469.67
  6. Step 6: Final answer
    x = 3,005.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.